Logarithmic Integral
The logarithmic integral is defined by
 | (1) |
: |  |  | (2) |
 |  | (3) | |
|  | (4) |
where
is the Exponential Integral. (Note that the Notation 
is also used for theRamanujan 
independently discovered (Berndt 1994)that | (5) |
is the Euler-Mascheroni Constant and 
is Soldner's Constant. Another Formula dueto Ramanujan which converges more rapidly is | (6) |
References
Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 126-131, 1994. Nielsen, N. Theorie des Integrallogarithms. New York: Chelsea, 1965. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 151, 1991.
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